21-131: Analysis I    Fall 2008

Lectures:  MWF 11:30 am-12:20 pm in Wean Hall 5302 (changed from 8427)

Professor:  Robert Pego

Teaching assistant:  Michael Klipper

Recitations are held T-Th in Scaife Hall room 220:

Final exam: Monday, December 15, 1-4pm. Location: Doherty Hall room 1212

Assignments:

Handouts/Links:

Main Text:  Calculus I  by T. M. Apostol, published by Wiley. 2nd ed.
The syllabus for Analysis I includes the Introduction and most of the first five chapters.

Recommended Text:  How to Prove It   by D. J. Velleman, Cambridge Univ. Press, 2nd edition.
An excellent resource on logic and strategies for constructing mathematical proofs.

Course Description:   Analysis I is ``calculus with proofs,'' roughly speaking. Compared to 21-121, this course places greater emphasis on conceptual understanding and developing students' reasoning skills, providing a better basis for advanced mathematics courses. Proofs capture logical reasoning in written form, facilitate in-depth understanding, and hone the imagination. The aim is to develop each students' reasoning powers in tandem with fluency in the calculation and application of integrals and derivatives.

Grading:   Based on 750 points in total:

Test dates:

Homework is due every Tuesday unless announced otherwise. PDF files will be posted online at http://www.math.cmu.edu/~bobpego/21131/ . Working homework problems and writing up solutions is essential for your progress. You should work on all the assigned problems (though not all that is turned in can be graded), and more of your choice.

Late homework is accepted up to two discussion periods late with a 30 percent deduction.

Academic integrity requires that your tests and homework solutions are your independent work and not copied from other sources. On homework you are encouraged, however, to discuss with others and consult other resources to improve your understanding. But homework solutions from previous semesters, if available, cannot be used.

Make-up tests are only possible in the case of a documented medical excuse, a university-sanctioned absence (e.g., participation in a varsity sporting event), or a family emergency. Please contact me at the earliest time possible to schedule a make-up.

Quote

``Still more astonishing is that world of rigorous fantasy we call mathematics.'' --- Gregory Bateson